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Simplifying 8 + 2(7u + -3) = -2(4u + -8) + 4u Reorder the terms: 8 + 2(-3 + 7u) = -2(4u + -8) + 4u 8 + (-3 * 2 + 7u * 2) = -2(4u + -8) + 4u 8 + (-6 + 14u) = -2(4u + -8) + 4u Combine like terms: 8 + -6 = 2 2 + 14u = -2(4u + -8) + 4u Reorder the terms: 2 + 14u = -2(-8 + 4u) + 4u 2 + 14u = (-8 * -2 + 4u * -2) + 4u 2 + 14u = (16 + -8u) + 4u Combine like terms: -8u + 4u = -4u 2 + 14u = 16 + -4u Solving 2 + 14u = 16 + -4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '4u' to each side of the equation. 2 + 14u + 4u = 16 + -4u + 4u Combine like terms: 14u + 4u = 18u 2 + 18u = 16 + -4u + 4u Combine like terms: -4u + 4u = 0 2 + 18u = 16 + 0 2 + 18u = 16 Add '-2' to each side of the equation. 2 + -2 + 18u = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 18u = 16 + -2 18u = 16 + -2 Combine like terms: 16 + -2 = 14 18u = 14 Divide each side by '18'. u = 0.7777777778 Simplifying u = 0.7777777778
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